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Extensions 1→N→G→Q→1 with N=C2×C32⋊2C8 and Q=C2

Direct product G=N×Q with N=C2×C32⋊2C8 and Q=C2
dρLabelID
C22×C32⋊2C896C2^2xC3^2:2C8288,939

Semidirect products G=N:Q with N=C2×C32⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊2C8)⋊1C2 = C62.3D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C848(C2xC3^2:2C8):1C2288,387
(C2×C32⋊2C8)⋊2C2 = C62.6(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C848(C2xC3^2:2C8):2C2288,426
(C2×C32⋊2C8)⋊3C2 = C62⋊3C8φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C848(C2xC3^2:2C8):3C2288,435
(C2×C32⋊2C8)⋊4C2 = C2×C32⋊D8φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C848(C2xC3^2:2C8):4C2288,883
(C2×C32⋊2C8)⋊5C2 = C62.13D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C8488-(C2xC3^2:2C8):5C2288,885
(C2×C32⋊2C8)⋊6C2 = C2×C32⋊2SD16φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C848(C2xC3^2:2C8):6C2288,886
(C2×C32⋊2C8)⋊7C2 = C2×C32⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C848(C2xC3^2:2C8):7C2288,930
(C2×C32⋊2C8)⋊8C2 = C62.(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C8488-(C2xC3^2:2C8):8C2288,935
(C2×C32⋊2C8)⋊9C2 = C2×C62.C4φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C848(C2xC3^2:2C8):9C2288,940
(C2×C32⋊2C8)⋊10C2 = C2×C3⋊S3⋊3C8φ: trivial image48(C2xC3^2:2C8):10C2288,929

Non-split extensions G=N.Q with N=C2×C32⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C32⋊2C8).1C2 = C62.4D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).1C2288,388
(C2×C32⋊2C8).2C2 = (C3×C12)⋊4C8φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).2C2288,424
(C2×C32⋊2C8).3C2 = C32⋊5(C4⋊C8)φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).3C2288,427
(C2×C32⋊2C8).4C2 = C2×C2.F9φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).4C2288,865
(C2×C32⋊2C8).5C2 = C62.7D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).5C2288,391
(C2×C32⋊2C8).6C2 = C2×C32⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).6C2288,888
(C2×C32⋊2C8).7C2 = C62.2Q8φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C8488-(C2xC3^2:2C8).7C2288,396
(C2×C32⋊2C8).8C2 = C62.6D4φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).8C2288,390
(C2×C32⋊2C8).9C2 = C32⋊2C8⋊C4φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C896(C2xC3^2:2C8).9C2288,425
(C2×C32⋊2C8).10C2 = C22.F9φ: C2/C1 → C2 ⊆ Out C2×C32⋊2C8488-(C2xC3^2:2C8).10C2288,866
(C2×C32⋊2C8).11C2 = C4×C32⋊2C8φ: trivial image96(C2xC3^2:2C8).11C2288,423

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